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Finding the Third Proportional to 548,090 and 1,195,780

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Solution

The third proportional to 548,090 and 1,195,780 is: 2,608,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,090 : 1,195,780 = 1,195,780 : x
  2. Step 2: Convert to fraction form
    548,090/1,195,780 = 1,195,780/x
  3. Step 3: Cross multiply
    548,090x = 1,195,780 × 1,195,780
  4. Step 4: Simplify right side
    548,090x = 1,429,889,808,400
  5. Step 5: Solve for x
    x = 1,429,889,808,400/548,090
  6. Step 6: Final answer
    x = 2,608,859.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.